Answer: Medication in Lexi's system on day t becomes,
[tex]L=10.625(\frac{1}{2})^{t-4}[/tex]
Step-by-step explanation:
Since we have given that
Initial amount Sofia takes of a medicine = 10 mg
Concentration in blood decreases by a factor of one half every day.
So, it becomes,
[tex]S=10(\frac{1}{2})^t\\\\here,\text{ t denotes number of days}[/tex]
According to question, four days later, it becomes,
[tex]S=10(\frac{1}{2})^4\\\\S=\frac{10}{16}\\\\S=0.625\ mg[/tex]
We have given that Lexi takes 10 mg of the same medicine.
So, it becomes,
[tex]10+0.625\\\\10.625\ mg[/tex]
Hence, Medication in Lexi's system on day t becomes,
[tex]L=10.625(\frac{1}{2})^{t-4}[/tex]
